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JacobiPreconditioner (Commons Math 3.2 API)
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org.apache.commons.math3.linear</FONT>
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Class JacobiPreconditioner</H2>
<PRE>
<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A>
  <IMG SRC="../../../../../resources/inherit.gif" ALT="extended by "><A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">org.apache.commons.math3.linear.RealLinearOperator</A>
      <IMG SRC="../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math3.linear.JacobiPreconditioner</B>
</PRE>
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<DL>
<DT><PRE>public class <B>JacobiPreconditioner</B><DT>extends <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A></DL>
</PRE>

<P>
This class implements the standard Jacobi (diagonal) preconditioner. For a
 matrix A<sub>ij</sub>, this preconditioner is
 M = diag(1 / A<sub>11</sub>, 1 / A<sub>22</sub>, &hellip;).
<P>

<P>
<DL>
<DT><B>Since:</B></DT>
  <DD>3.0</DD>
<DT><B>Version:</B></DT>
  <DD>$Id: JacobiPreconditioner.java 1422195 2012-12-15 06:45:18Z psteitz $</DD>
</DL>
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<!-- ======== CONSTRUCTOR SUMMARY ======== -->

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<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#JacobiPreconditioner(double[], boolean)">JacobiPreconditioner</A></B>(double[]&nbsp;diag,
                     boolean&nbsp;deep)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Creates a new instance of this class.</TD>
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<CODE>static&nbsp;<A HREF="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html" title="class in org.apache.commons.math3.linear">JacobiPreconditioner</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#create(org.apache.commons.math3.linear.RealLinearOperator)">create</A></B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Creates a new instance of this class.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;int</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#getColumnDimension()">getColumnDimension</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the dimension of the domain of this operator.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;int</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#getRowDimension()">getRowDimension</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the dimension of the codomain of this operator.</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#operate(org.apache.commons.math3.linear.RealVector)">operate</A></B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the result of multiplying <code>this</code> by the vector <code>x</code>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#sqrt()">sqrt</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the square root of <code>this</code> diagonal operator.</TD>
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<TH ALIGN="left"><B>Methods inherited from class org.apache.commons.math3.linear.<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A></B></TH>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html#isTransposable()">isTransposable</A>, <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html#operateTranspose(org.apache.commons.math3.linear.RealVector)">operateTranspose</A></CODE></TD>
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<A NAME="JacobiPreconditioner(double[], boolean)"><!-- --></A><H3>
JacobiPreconditioner</H3>
<PRE>
public <B>JacobiPreconditioner</B>(double[]&nbsp;diag,
                            boolean&nbsp;deep)</PRE>
<DL>
<DD>Creates a new instance of this class.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>diag</CODE> - the diagonal coefficients of the linear operator to be
 preconditioned<DD><CODE>deep</CODE> - <code>true</code> if a deep copy of the above array should be
 performed</DL>
</DL>

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<A NAME="create(org.apache.commons.math3.linear.RealLinearOperator)"><!-- --></A><H3>
create</H3>
<PRE>
public static <A HREF="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html" title="class in org.apache.commons.math3.linear">JacobiPreconditioner</A> <B>create</B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a)
                                   throws <A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A></PRE>
<DL>
<DD>Creates a new instance of this class. This method extracts the diagonal
 coefficients of the specified linear operator. If <code>a</code> does not
 extend <A HREF="../../../../../org/apache/commons/math3/linear/AbstractRealMatrix.html" title="class in org.apache.commons.math3.linear"><CODE>AbstractRealMatrix</CODE></A>, then the coefficients of the
 underlying matrix are not accessible, coefficient extraction is made by
 matrix-vector products with the basis vectors (and might therefore take
 some time). With matrices, direct entry access is carried out.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>a</CODE> - the linear operator for which the preconditioner should be built
<DT><B>Returns:</B><DD>the diagonal preconditioner made of the inverse of the diagonal
 coefficients of the specified linear operator
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A></CODE> - if <code>a</code> is not square</DL>
</DD>
</DL>
<HR>

<A NAME="getColumnDimension()"><!-- --></A><H3>
getColumnDimension</H3>
<PRE>
public int <B>getColumnDimension</B>()</PRE>
<DL>
<DD>Returns the dimension of the domain of this operator.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html#getColumnDimension()">getColumnDimension</A></CODE> in class <CODE><A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A></CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the number of columns of the underlying matrix</DL>
</DD>
</DL>
<HR>

<A NAME="getRowDimension()"><!-- --></A><H3>
getRowDimension</H3>
<PRE>
public int <B>getRowDimension</B>()</PRE>
<DL>
<DD>Returns the dimension of the codomain of this operator.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html#getRowDimension()">getRowDimension</A></CODE> in class <CODE><A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A></CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the number of rows of the underlying matrix</DL>
</DD>
</DL>
<HR>

<A NAME="operate(org.apache.commons.math3.linear.RealVector)"><!-- --></A><H3>
operate</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A> <B>operate</B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x)</PRE>
<DL>
<DD>Returns the result of multiplying <code>this</code> by the vector <code>x</code>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html#operate(org.apache.commons.math3.linear.RealVector)">operate</A></CODE> in class <CODE><A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - the vector to operate on
<DT><B>Returns:</B><DD>the product of <code>this</code> instance with <code>x</code></DL>
</DD>
</DL>
<HR>

<A NAME="sqrt()"><!-- --></A><H3>
sqrt</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A> <B>sqrt</B>()</PRE>
<DL>
<DD>Returns the square root of <code>this</code> diagonal operator. More
 precisely, this method returns
 P = diag(1 / &radic;A<sub>11</sub>, 1 / &radic;A<sub>22</sub>, &hellip;).
<P>
<DD><DL>

<DT><B>Returns:</B><DD>the square root of <code>this</code> preconditioner<DT><B>Since:</B></DT>
  <DD>3.1</DD>
</DL>
</DD>
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